The Mechanism · Gated-generation receipt

gen-state-a-priority-queue-precisely-and-explain-why-it-matters-4aed

hold
2026-05-29 03:27:40 UTC · anthropic/claude-sonnet-4-5

Prompt

State a priority queue precisely and explain why it matters in 2-3 sentences.
77 chars

Generation

# Priority Queue **Definition:** A priority queue is an abstract data type that stores elements with associated priorities, where the element with the highest (or lowest) priority is always retrieved first, regardless of insertion order. **Why it matters:** Priority queues are essential for algorithms like Dijkstra's shortest path and A* search, where processing items in priority order dramatically improves efficiency. They model real-world scenarios naturally—emergency room triage, CPU task scheduling, and event-driven simulations all require serving high-priority items before low-priority ones, making priority queues indispensable in both theoretical computer science and practical systems.
25 tokens in · 136 tokens out · 4709 ms · $0.0021

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
wait
output contains coercion language: ['regardless of']
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
4717.0 ms
Base LLM
4708.9 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0021

Trail

03:27:40 received prompt_chars=77 verifiers=['scripture_anchors', 'theology_doctrine']
03:27:40 red_gate decision=pass reason=no disqualifying input patterns detected
03:27:44 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=136 latency_ms=4708.9 cost_usd=0.0021
03:27:44 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:27:44 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:27:44 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:27:44 way_gate decision=wait reason=output contains coercion language: ['regardless of']
03:27:44 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:27:44 signed hash_algo=sha256 hash=sha256:930a3820f4ea87c4ea155bebc82c1db4686c5bfa146ca23071254fb3884c1887

Content hash

sha256:930a3820f4ea87c4ea155bebc82c1db4686c5bfa146ca23071254fb3884c1887

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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